What is this nature of Electrostatic Field ?

Hi all,

Work done to move a charge between two points in electrostatic field is independent of path taken.

what is in this electrostatic force that is causing this? I mean how is it making it path independent?

Does it has to do with the inverse-square nature of the field? or Its radially outward pointing field?

Secondly, is the relationship between conservativeness of field and path independence bidirectional?

I am having really a tough time understanding its nature intuitively.Almost 2 weeks gone. Still couldn't make.kind request to help me get out of this.

Regards